Q: What are the factor combinations of the number 50,717,023?

 A:
Positive:   1 x 507170237 x 724528919 x 266931731 x 1636033133 x 381331217 x 233719589 x 861074123 x 12301
Negative: -1 x -50717023-7 x -7245289-19 x -2669317-31 x -1636033-133 x -381331-217 x -233719-589 x -86107-4123 x -12301


How do I find the factor combinations of the number 50,717,023?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 50,717,023, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 50,717,023
-1 -50,717,023

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 50,717,023.

Example:
1 x 50,717,023 = 50,717,023
and
-1 x -50,717,023 = 50,717,023
Notice both answers equal 50,717,023

With that explanation out of the way, let's continue. Next, we take the number 50,717,023 and divide it by 2:

50,717,023 ÷ 2 = 25,358,511.5

If the quotient is a whole number, then 2 and 25,358,511.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 50,717,023
-1 -50,717,023

Now, we try dividing 50,717,023 by 3:

50,717,023 ÷ 3 = 16,905,674.3333

If the quotient is a whole number, then 3 and 16,905,674.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 50,717,023
-1 -50,717,023

Let's try dividing by 4:

50,717,023 ÷ 4 = 12,679,255.75

If the quotient is a whole number, then 4 and 12,679,255.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 50,717,023
-1 50,717,023
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1719311332175894,12312,30186,107233,719381,3311,636,0332,669,3177,245,28950,717,023
-1-7-19-31-133-217-589-4,123-12,301-86,107-233,719-381,331-1,636,033-2,669,317-7,245,289-50,717,023

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